Fractions·7/22
7
22
=
0.3(18)

7/22 as a decimal is 0.3(18)

Repeating

7/22 is 0.3(18), or 31.(81)%. It repeats with a period of 2 digits.

The digits in brackets repeat for ever. 0.1(6) is 0.16666… and 0.(3) is 0.3333…

Seen as a length

The whole is cut into as many parts as the denominator, and as many are filled as the numerator. The tick marks the halfway point.

Decimal
0.3(18)
Percent
31.(81)%
Ratio
7 : 15
Repeating part
18 (2)
Degrees of a circle
114.(54)°
Minutes of an hour
19.(09)
Reciprocal
22/7 = 3 1/7
Equivalent fractions
14/44, 21/66, 28/88, 35/110

Same denominator

Nearby values

How to read this

  • The digits in brackets repeat for ever — 0.1(6) means 0.16666…
  • If the denominator has no prime factors besides 2 and 5, the decimal stops.
  • Equal fractions do not get separate pages: looking up 2/4 brings you to 1/2.
  • A percentage is the same number times 100; degrees are the same number times 360.

Frequently asked questions

Q. What is 7/22 as a decimal?

0.3(18). The 2 digits in brackets repeat for ever.

Q. What is 7/22 as a percentage?

31.(81)%.

Q. Which fractions equal 7/22?

14/44, 21/66, 28/88, 35/110 … multiplying top and bottom by the same number leaves the value unchanged.

Q. What is the reciprocal of 7/22?

22/7, or 3 1/7 as a mixed number.